Extensions 1→N→G→Q→1 with N=C₄xC₄₀ and Q=C₂

Direct product G=NxQ with N=C₄xC₄₀ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₄xC₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₄₀):₁C₂ = D₂₀:₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):1C2	320,17
(C₄xC₄₀):₂C₂ = C₅xD₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):2C2	320,130
(C₄xC₄₀):₃C₂ = C₄².₂₈₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):3C2	320,312
(C₄xC₄₀):₄C₂ = C₄².₂₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):4C2	320,317
(C₄xC₄₀):₅C₂ = C₄.₅D₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):5C2	320,321
(C₄xC₄₀):₆C₂ = C₄².₂₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):6C2	320,324
(C₄xC₄₀):₇C₂ = C₅xC₄².₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):7C2	320,932
(C₄xC₄₀):₈C₂ = C₅xC₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):8C2	320,934
(C₄xC₄₀):₉C₂ = D₄xC₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):9C2	320,935
(C₄xC₄₀):₁₀C₂ = C₅xC₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):10C2	320,987
(C₄xC₄₀):₁₁C₂ = C₅xC₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):11C2	320,989
(C₄xC₄₀):₁₂C₂ = C₄xD₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):12C2	320,319
(C₄xC₄₀):₁₃C₂ = C₂₀:₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):13C2	320,322
(C₄xC₄₀):₁₄C₂ = C₈.₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):14C2	320,323
(C₄xC₄₀):₁₅C₂ = D₄₀:₁₇C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	80	2	(C4xC40):15C2	320,327
(C₄xC₄₀):₁₆C₂ = C₄xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):16C2	320,318
(C₄xC₄₀):₁₇C₂ = C₈:₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):17C2	320,320
(C₄xC₄₀):₁₈C₂ = D₅xC₄xC₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):18C2	320,311
(C₄xC₄₀):₁₉C₂ = C₈xD₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):19C2	320,313
(C₄xC₄₀):₂₀C₂ = C₄xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):20C2	320,314
(C₄xC₄₀):₂₁C₂ = C₈:₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):21C2	320,315
(C₄xC₄₀):₂₂C₂ = D₁₀.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):22C2	320,316
(C₄xC₄₀):₂₃C₂ = D₈xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):23C2	320,938
(C₄xC₄₀):₂₄C₂ = C₅xC₈:₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):24C2	320,994
(C₄xC₄₀):₂₅C₂ = C₅xC₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):25C2	320,996
(C₄xC₄₀):₂₆C₂ = C₅xC₈oD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	80	2	(C4xC40):26C2	320,944
(C₄xC₄₀):₂₇C₂ = SD₁₆xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):27C2	320,939
(C₄xC₄₀):₂₈C₂ = C₅xC₈:₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):28C2	320,993
(C₄xC₄₀):₂₉C₂ = M₄(2)xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):29C2	320,905
(C₄xC₄₀):₃₀C₂ = C₅xC₈o₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):30C2	320,906
(C₄xC₄₀):₃₁C₂ = C₅xC₈:₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	160		(C4xC40):31C2	320,937

Non-split extensions G=N.Q with N=C₄xC₄₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₄₀).₁C₂ = C₄².₂₇₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).1C2	320,12
(C₄xC₄₀).₂C₂ = Dic₁₀:₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).2C2	320,14
(C₄xC₄₀).₃C₂ = C₅xQ₈:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).3C2	320,131
(C₄xC₄₀).₄C₂ = C₅xC₄:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).4C2	320,168
(C₄xC₄₀).₅C₂ = C₂₀.₁₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).5C2	320,308
(C₄xC₄₀).₆C₂ = Q₈xC₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).6C2	320,946
(C₄xC₄₀).₇C₂ = C₅xC₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).7C2	320,988
(C₄xC₄₀).₈C₂ = C₄₀:₅C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).8C2	320,16
(C₄xC₄₀).₉C₂ = C₄₀:₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).9C2	320,309
(C₄xC₄₀).₁₀C₂ = C₄xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).10C2	320,325
(C₄xC₄₀).₁₁C₂ = C₂₀:₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).11C2	320,326
(C₄xC₄₀).₁₂C₂ = C₄₀.₁₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).12C2	320,310
(C₄xC₄₀).₁₃C₂ = C₄₀.₇C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	80	2	(C4xC40).13C2	320,21
(C₄xC₄₀).₁₄C₂ = C₄₀:₆C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).14C2	320,15
(C₄xC₄₀).₁₅C₂ = C₄₀:₉Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).15C2	320,307
(C₄xC₄₀).₁₆C₂ = C₈xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).16C2	320,11
(C₄xC₄₀).₁₇C₂ = C₄₀:₈C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).17C2	320,13
(C₄xC₄₀).₁₈C₂ = C₄xC₅:₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).18C2	320,18
(C₄xC₄₀).₁₉C₂ = C₄₀.₁₀C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).19C2	320,19
(C₄xC₄₀).₂₀C₂ = C₂₀:₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).20C2	320,20
(C₄xC₄₀).₂₁C₂ = C₈xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).21C2	320,305
(C₄xC₄₀).₂₂C₂ = C₄₀:₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).22C2	320,306
(C₄xC₄₀).₂₃C₂ = C₅xC₈:₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).23C2	320,140
(C₄xC₄₀).₂₄C₂ = Q₁₆xC₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).24C2	320,940
(C₄xC₄₀).₂₅C₂ = C₅xC₄:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).25C2	320,995
(C₄xC₄₀).₂₆C₂ = C₅xC₈:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).26C2	320,1001
(C₄xC₄₀).₂₇C₂ = C₅xC₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).27C2	320,1000
(C₄xC₄₀).₂₈C₂ = C₅xC₈.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	80	2	(C4xC40).28C2	320,169
(C₄xC₄₀).₂₉C₂ = C₅xC₈:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).29C2	320,139
(C₄xC₄₀).₃₀C₂ = C₅xC₈:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).30C2	320,999
(C₄xC₄₀).₃₁C₂ = C₅xC₈:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).31C2	320,127
(C₄xC₄₀).₃₂C₂ = C₅xC₁₆:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).32C2	320,151
(C₄xC₄₀).₃₃C₂ = C₅xC₈:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₄₀	320		(C4xC40).33C2	320,947

Extensions 1→N→G→Q→1 with N=C4xC40 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄xC₄₀ and Q=C₂